Search a number
-
+
1002225514140 = 2232554110291903
BaseRepresentation
bin11101001010110010100…
…10111011011010011100
310112210220211010020221200
432211121102323122130
5112410024212423030
62044225510555500
7132260040211314
oct16453122733234
93483824106850
101002225514140
113570501a1684
121422a3368b90
1373681391406
1436717c46444
151b10bd22d60
hexe9594bb69c

1002225514140 has 72 divisors (see below), whose sum is σ = 3045703734528. Its totient is φ = 266766099840.

The previous prime is 1002225514097. The next prime is 1002225514141. The reversal of 1002225514140 is 414155222001.

It is a happy number.

1002225514140 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 2 + 5 + 514 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002225514141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5048572 + ... + 5243331.

Almost surely, 21002225514140 is an apocalyptic number.

1002225514140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002225514140 is an abundant number, since it is smaller than the sum of its proper divisors (2043478220388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002225514140 is a wasteful number, since it uses less digits than its factorization.

1002225514140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10292459 (or 10292454 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1002225514140 in words is "one trillion, two billion, two hundred twenty-five million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 541 1082 1623 2164 2705 3246 4869 5410 6492 8115 9738 10820 16230 19476 24345 32460 48690 97380 10291903 20583806 30875709 41167612 51459515 61751418 92627127 102919030 123502836 154378545 185254254 205838060 308757090 370508508 463135635 617514180 926271270 1852542540 5567919523 11135839046 16703758569 22271678092 27839597615 33407517138 50111275707 55679195230 66815034276 83518792845 100222551414 111358390460 167037585690 200445102828 250556378535 334075171380 501112757070 1002225514140